The solution of `(d v)/(dt)+k/m v=-g` is

the solution of (dy)/(dt)+(k)/(m)y=-g is

The solution of differential equation (dt)/(dx) = (t[d/dx{g(x)}]-t^(2))/(g(x) ) is

For the reaction 3A(g)overset(k)toB(g)+C(g) k is 10^(-4)L//mol.min . If [A] = 0.5M then the value of -(d[A])/(dt) (in ms^(-1) is:

The velocity v of mass m of a rocket at time t is given by the equation : m (dv)/(dt)+V (dm)/(dt)=0 , where 'V' is the constant velocity of emission. If the rocket starts from rest when t=0 with mass m, prove that : v= V log ((m_(0))/(m)) .

Two solution of H_(2)SO_(4) of molarities x and y are mixed in the ratio of V_(1) mL : V_(2) mL to form a solution of molarity M_(1) . If they are mixed in the ratio of V_(2) mL : V_(1) mL , they form a solution of molarity M_(2) . Given V_(1)//V_(2) = (x)/(y) gt 1 and (M_(1))/(M_(2)) = (5)/(4) , then x : y is

The solution of the differential equation (d theta)/(dt)=-k(theta-theta_(0)) where k is constant, is . . . .

Nitric oxide reacts with H_(2) according to the reaction 2NO_((g)) + 2H_(2(g)) to N_(2(g)) + 2H_(2)O_((g)) What is the relationship among (d[NO])/(dt) = (d[H_(2)])/(dt) = (d[N_(2)])/(dt) " and " (d[H_(2)O])/(dt)?